Current fluctuations in a partially asymmetric simple exclusion process with a defect particle

被引：2

作者：

Lobaskin, Ivan ^{[1
]}

Evans, Martin R. ^{[1
]}

Mallick, Kirone ^{[2
]}

机构：

[1] Univ Edinburgh, Sch Phys & Astron, Peter Guthrie Tait Rd, Edinburgh EH9 3FD, Scotland

[2] Univ Paris Saclay, Inst Phys Theor, CNRS, CEA, F-91191 Gif Sur Yvette, France

来源：

PHYSICAL REVIEW E | 2024年 / 109卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

EXACT DIFFUSION CONSTANT; BETHE-ANSATZ SOLUTION; MODEL;

D O I：

10.1103/PhysRevE.109.024127

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study an exclusion process on a ring comprising a free defect particle in a bath of normal particles. The model is one of the few integrable cases in which the bath particles are partially asymmetric. The presence of the free defect creates localized or shock phases according to parameter values. We use a functional approach to Bethe equations resulting from a nested Bethe ansatz to calculate exactly the mean currents and diffusion constants. The results agree very well with Monte Carlo simulations and reveal the main modes of fluctuation in the different phases of the steady state.

引用

页数：15

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